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On quasifree states of the canonical commutation relations. II. (English) Zbl 0239.46067

##### MSC:
 46L05 General theory of $$C^*$$-algebras 46N99 Miscellaneous applications of functional analysis
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##### References:
 [1] Araki, H., and M. Shiraishi, On quasifree states of the canonical commutation relations (I), this issue. · Zbl 0239.46066 · doi:10.2977/prims/1195193785 [2] Araki, H., On quasifree state of CAR and Bogoliubov automorphisms, Publ. RIMS Kyoto Univ. 6 (1971), 385-442. · Zbl 0227.46061 · doi:10.2977/prims/1195193913 [3] Araki, H., and E.J. Woods, Representations of the canonical commutation rela- tions describing a nonrelativistic infinite free Rose gas, /. Math. Phys. 4 (1963), 637-662. [4] Hagg, R., N. M, Hugenholtz and M. Winnink, On the equilibrium states in quantum statistical mechanics, Comm. Math. Phys. 5 (1967), 215-236. · Zbl 0171.47102 · doi:10.1007/BF01646342 [5] Hugenholtz, N.M., On the factor type of equilibrium states in quantum statis- tical mechanics, Comm. Math. Phys. 6 (1967), 189-193. · Zbl 0165.58702 · doi:10.1007/BF01659975 [6] Hugenholtz, N. M. and J. D. Wieringa, On locally normal states in quantum statistical mechanics, Comm. Math. Phys. 11 (1969), 183-197. · Zbl 0165.58701 · doi:10.1007/BF01645805 [7] Takesaki, M., Tomita’s Theory of Modular Hilbert Algebras and Its Applications, Springer, Berlin, 1970. · Zbl 0193.42502 [8] Kadison, R. V., Strong continuity of operator functions, Pacific /. Math. 26 (1968), 121-129. · Zbl 0169.16902 · doi:10.2140/pjm.1968.26.121
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